1020212800 has 84 divisors (see below), whose sum is σ = 2551758676. Its totient is φ = 401356800.

The previous prime is 1020212783. The next prime is 1020212801. The reversal of 1020212800 is 82120201.

1020212800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14561856 + 1005650944 = 3816^2 + 31712^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1020212801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92374 + ... + 102826.

Almost surely, 2^1020212800 is an apocalyptic number.

1020212800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275879338).

1020212800 is an abundant number, since it is smaller than the sum of its proper divisors (1531545876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020212800 is a wasteful number, since it uses less digits than its factorization.

1020212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10521 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1020212800 is about 31940.7701848280. The cubic root of 1020212800 is about 1006.6927077358.

The spelling of 1020212800 in words is "one billion, twenty million, two hundred twelve thousand, eight hundred".